Answer: x = 9.611 ; or ; x = 9 11/18 .
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Explanation:
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All angles of any triangle must add up to 180 degrees.
So, (10x - 4) + (8x + 3) + 91 = 180 ; Solve for "x" ;
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10x - 4 + 8x + 3 + 81 = 180 ;
Combine the "like terms" on the left-hand side of the equation:
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+10x + 8x = 18x ;
- 4 + 3 + 8 = 7 ;
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18x + 7 = 180 ;
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Subtract "7" from each side of the equation:
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18x + 7 - 7 = 180 - 7 ;
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to get:
18x = 173 ;
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Divide EACH side of the equation by "18" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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18x / 18 = 173 / 18 ;
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x = 9.6111111111111111....
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Write as: 9.611 ; or; 9 11/18.
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Answer:
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Step-by-step explanation:
The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.
28x - 7 + 24x + 18 = 180
52x + 11 = 180
52x = 169
x = 169/52
x = 3.25
Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.
12y + 30 = 24x + 18
We know that x = 3.25.
12y + 30 = 24(3.25) + 18
12y + 30 = 78 + 18
12y = 66
y = 66/12
y = 5.5
I don't know what the problem is asking for since you don't show.
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Answer:
He bought 6 chairs and 10 tables.
Step-by-step explanation:
x+y = 16
he spent = $1800
1 chair = $50
y chairs = $50y
1 table = $150
x chairs = $150x
so, 150x+50y = 1800
we got two equations :
x+ y = 16
150x+50y = 1800
Using. substitution method,
x+y = 16
so, x = 16-y
Now
150x+50y =1800
or, 150(16-y) + 50y = 1800
or, 2400-150y+50y = 1800
or, 2400-1800 = 150y-50y
or, 600=100y
so, y = 6
now,
x+y = 16
or, x + 6 = 16
so, x = 10
Answer:
9,999,995
Step-by-step explanation:
Answer:
5/8 of a quart.
Step-by-step explanation:
That would be 28/32 - 1/4
= 28/32 - 8 /32
= 20/32
= 5/8 of a quart.
